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The aim of this talk is to analyze a class of lattice differential equations containing some hereditary characteristics (delays). First we establish some results ensuring existence of solutions, and uniqueness when we impose stronger assumptions. Next we prove the existence of an attractor for the dynamical system generated by the model. We will use techniques from set-valued or multi-valued dynamical systems since we will only impose rather general hypotheses which do not guarantee, in principle, the uniqueness of solutions. Finally, some illustrative applications will be shown. |
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